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Finding the Third Proportional to 252,290 and 420,468

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Solution

The third proportional to 252,290 and 420,468 is: 700,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,290 : 420,468 = 420,468 : x
  2. Step 2: Convert to fraction form
    252,290/420,468 = 420,468/x
  3. Step 3: Cross multiply
    252,290x = 420,468 × 420,468
  4. Step 4: Simplify right side
    252,290x = 176,793,339,024
  5. Step 5: Solve for x
    x = 176,793,339,024/252,290
  6. Step 6: Final answer
    x = 700,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.